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Finding the Fourth Proportional to 192,358.25, 265,468.13 and 106,315.38

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Solution

The fourth proportional to 192,358.25, 265,468.13 and 106,315.38 is: 146,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,358.25 : 265,468.13 = 106,315.38 : x
  2. Step 2: Convert to fraction form
    192,358.25/265,468.13 = 106,315.38/x
  3. Step 3: Cross multiply
    192,358.25x = 265,468.13 × 106,315.38
  4. Step 4: Simplify right side
    192,358.25x = 28,223,345,118.84
  5. Step 5: Solve for x
    x = 28,223,345,118.84/192,358.25
  6. Step 6: Final answer
    x = 146,722.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.